SVG file doesn't show up in blender
Replicating your steps:

I vectorized your design and I saved it in SVG.

Imported in Blender and I noticed the svg comes too small.

Not so small as yours.

I entered Edit mode Tab, then Select all A, then S, then 50 and finally Enter.

This made it big enough.

In your case, I think S, 200 could be enough.

See the image below: